%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : FLD030-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:23:13 PM UTC 2026
% Result : Unsatisfiable 0.15s 10.46s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 26 ( 14 unt; 0 nHn; 26 RR)
% Number of literals : 45 ( 0 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_of_identity_multiplication,axiom,
( ~ defined(X1)
| product(multiplicative_identity,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
cnf(commutativity_multiplication,axiom,
( ~ product(X2,X1,X3)
| product(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
cnf(c_is_defined,hypothesis,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
cnf(associativity_multiplication_1,axiom,
( ~ product(X5,X6,X3)
| ~ product(X4,X6,X2)
| ~ product(X1,X4,X5)
| product(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
cnf(product_6,negated_conjecture,
product(multiplicative_identity,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_6) ).
cnf(product_5,negated_conjecture,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_5) ).
cnf(not_product_7,negated_conjecture,
~ product(d,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_7) ).
cnf(c_0_7,plain,
( ~ defined(X1)
| product(multiplicative_identity,X1,X1) ),
inference(fof_simplification,[status(thm)],[existence_of_identity_multiplication]) ).
cnf(c_0_8,plain,
( ~ product(X2,X1,X3)
| product(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[commutativity_multiplication]) ).
cnf(c_0_9,plain,
( ~ defined(X1)
| product(multiplicative_identity,X1,X1) ),
c_0_7 ).
cnf(c_0_10,hypothesis,
defined(c),
c_is_defined ).
cnf(c_0_11,plain,
( ~ product(X5,X6,X3)
| ~ product(X4,X6,X2)
| ~ product(X1,X4,X5)
| product(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[associativity_multiplication_1]) ).
cnf(c_0_12,plain,
( ~ product(X2,X1,X3)
| product(X1,X2,X3) ),
c_0_8 ).
cnf(c_0_13,hypothesis,
product(multiplicative_identity,c,c),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( ~ product(X5,X6,X3)
| ~ product(X4,X6,X2)
| ~ product(X1,X4,X5)
| product(X1,X2,X3) ),
c_0_11 ).
cnf(c_0_15,hypothesis,
product(c,multiplicative_identity,c),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
product(multiplicative_identity,a,d),
product_6 ).
cnf(c_0_17,hypothesis,
( ~ product(X1,X3,c)
| ~ product(X3,multiplicative_identity,X2)
| product(X1,X2,c) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
product(a,multiplicative_identity,d),
inference(spm,[status(thm)],[c_0_12,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
( ~ product(X1,a,c)
| product(X1,d,c) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,negated_conjecture,
product(a,b,c),
product_5 ).
cnf(c_0_21,negated_conjecture,
~ product(d,b,c),
inference(fof_simplification,[status(thm)],[not_product_7]) ).
cnf(c_0_22,negated_conjecture,
( ~ product(X1,a,c)
| product(d,X1,c) ),
inference(spm,[status(thm)],[c_0_12,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
product(b,a,c),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
~ product(d,b,c),
c_0_21 ).
cnf(c_0_25,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD030-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/10.39 % Computer : n010.cluster.edu
% 0.12/10.39 % Model : x86_64 x86_64
% 0.12/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.39 % Memory : 8046.5625MB
% 0.12/10.39 % OS : Linux 6.8.0-71-generic
% 0.12/10.39 % CPULimit : 300
% 0.12/10.39 % WCLimit : 300
% 0.12/10.39 % DateTime : Mon Sep 21 15:39:06 UTC 2026
% 0.12/10.39 % CPUTime :
% 0.12/10.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/10.44 Running first-order theorem proving
% 0.15/10.44 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/10.46 % Version: 3.5.1
% 0.15/10.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/10.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/10.46 % Starting new_bool_3 with 300s (1) cores
% 0.15/10.46 % Starting new_bool_1 with 300s (1) cores
% 0.15/10.46 % Starting sh5l with 300s (1) cores
% 0.15/10.46 % new_bool_3 with pid 1202123 completed with status 0
% 0.15/10.46 % Result found by new_bool_3
% 0.15/10.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/10.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/10.46 % Starting new_bool_3 with 300s (1) cores
% 0.15/10.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/10.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/10.46 % Search class: FHUNF-FFSM00-SFFFFFNN
% 0.15/10.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/10.46 % Starting SubtermCWHack with 31s (1) cores
% 0.15/10.46 % SubtermCWHack with pid 1202128 completed with status 0
% 0.15/10.46 % Result found by SubtermCWHack
% 0.15/10.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/10.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/10.46 % Starting new_bool_3 with 300s (1) cores
% 0.15/10.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/10.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/10.46 % Search class: FHUNF-FFSM00-SFFFFFNN
% 0.15/10.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/10.46 % Starting SubtermCWHack with 31s (1) cores
% 0.15/10.46 % Preprocessing time : 0.001 s
% 0.15/10.46
% 0.15/10.46 % Proof found!
% 0.15/10.46 % SZS status Unsatisfiable
% 0.15/10.46 % SZS output start CNFRefutation
% See solution above
% 0.15/10.46 % Parsed axioms : 33
% 0.15/10.46 % Removed by relevancy pruning/SinE : 13
% 0.15/10.46 % Initial clauses : 20
% 0.15/10.46 % Removed in clause preprocessing : 0
% 0.15/10.46 % Initial clauses in saturation : 20
% 0.15/10.46 % Processed clauses : 50
% 0.15/10.46 % ...of these trivial : 0
% 0.15/10.46 % ...subsumed : 6
% 0.15/10.46 % ...remaining for further processing : 44
% 0.15/10.46 % Other redundant clauses eliminated : 0
% 0.15/10.46 % Clauses deleted for lack of memory : 0
% 0.15/10.46 % Backward-subsumed : 0
% 0.15/10.46 % Backward-rewritten : 0
% 0.15/10.46 % Generated clauses : 83
% 0.15/10.46 % ...of the previous two non-redundant : 51
% 0.15/10.46 % ...aggressively subsumed : 0
% 0.15/10.46 % Contextual simplify-reflections : 0
% 0.15/10.46 % Paramodulations : 83
% 0.15/10.46 % Factorizations : 0
% 0.15/10.46 % NegExts : 0
% 0.15/10.46 % Equation resolutions : 0
% 0.15/10.46 % Disequality decompositions : 0
% 0.15/10.46 % Total rewrite steps : 26
% 0.15/10.46 % ...of those cached : 15
% 0.15/10.46 % Propositional unsat checks : 0
% 0.15/10.46 % Propositional check models : 0
% 0.15/10.46 % Propositional check unsatisfiable : 0
% 0.15/10.46 % Propositional clauses : 0
% 0.15/10.46 % Propositional clauses after purity: 0
% 0.15/10.46 % Propositional unsat core size : 0
% 0.15/10.46 % Propositional preprocessing time : 0.000
% 0.15/10.46 % Propositional encoding time : 0.000
% 0.15/10.46 % Propositional solver time : 0.000
% 0.15/10.46 % Success case prop preproc time : 0.000
% 0.15/10.46 % Success case prop encoding time : 0.000
% 0.15/10.46 % Success case prop solver time : 0.000
% 0.15/10.46 % Current number of processed clauses : 44
% 0.15/10.46 % Positive orientable unit clauses : 22
% 0.15/10.46 % Positive unorientable unit clauses: 0
% 0.15/10.46 % Negative unit clauses : 2
% 0.15/10.46 % Non-unit-clauses : 20
% 0.15/10.46 % Current number of unprocessed clauses: 21
% 0.15/10.46 % ...number of literals in the above : 73
% 0.15/10.46 % Current number of archived formulas : 0
% 0.15/10.46 % Current number of archived clauses : 0
% 0.15/10.46 % Clause-clause subsumption calls (NU) : 74
% 0.15/10.46 % Rec. Clause-clause subsumption calls : 74
% 0.15/10.46 % Non-unit clause-clause subsumptions : 6
% 0.15/10.46 % Unit Clause-clause subsumption calls : 0
% 0.15/10.46 % Rewrite failures with RHS unbound : 0
% 0.15/10.46 % BW rewrite match attempts : 3
% 0.15/10.46 % BW rewrite match successes : 0
% 0.15/10.46 % Condensation attempts : 0
% 0.15/10.46 % Condensation successes : 0
% 0.15/10.46 % Termbank termtop insertions : 1543
% 0.15/10.46 % Search garbage collected termcells : 149
% 0.15/10.46
% 0.15/10.46 % -------------------------------------------------
% 0.15/10.46 % User time : 0.003 s
% 0.15/10.46 % System time : 0.004 s
% 0.15/10.46 % Total time : 0.007 s
% 0.15/10.46 % Maximum resident set size: 3660 pages
% 0.15/10.46
% 0.15/10.46 % -------------------------------------------------
% 0.15/10.46 % User time : 0.003 s
% 0.15/10.46 % System time : 0.010 s
% 0.15/10.46 % Total time : 0.013 s
% 0.15/10.46 % Maximum resident set size: 4864 pages
% 0.15/10.46 % E exiting
%------------------------------------------------------------------------------